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Finding the Fourth Proportional to 16,346.26, 24,523.02 and 5,958

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Solution

The fourth proportional to 16,346.26, 24,523.02 and 5,958 is: 8,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.26 : 24,523.02 = 5,958 : x
  2. Step 2: Convert to fraction form
    16,346.26/24,523.02 = 5,958/x
  3. Step 3: Cross multiply
    16,346.26x = 24,523.02 × 5,958
  4. Step 4: Simplify right side
    16,346.26x = 146,108,153.16
  5. Step 5: Solve for x
    x = 146,108,153.16/16,346.26
  6. Step 6: Final answer
    x = 8,938.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.